Percent from a Graph (Visual) 2

Question 1 of 5

Using the image below, find the following values:

Note: There are a total of

$100$ squares

Write fractions in the format “a/b”

$(i) \text(Fraction of purple-shaded area:)$ (40/100, 4/10, 2/5)

$(ii) \text(Percentage of purple-shaded area:)$ (40) $%$

$(iii) \text(Percentage of yellow-shaded area:)$ (60) $%$

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$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

$(i)$ Find the fraction of the purple-shaded region.

no. of purple-shaded parts

$=40$

total no. of equal parts

$=100$

$\frac{\mathsf{numerator}}{\mathsf{denominator}}$	$=$	$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

	$=$	$\frac{40}{100}$	Substitute values

$(ii)$ Find the percentage of the purple-shaded region.

Percentages are values per a hundred, or

$x/(100)$ . The per a hundred is represented by the symbol

$%$ .

Since the fraction has a denominator of

$100$ , get the numerator and add a percentage symbol

$(%)$ .

$\text(Percentage)$	$=$	$\frac{40}{100}$

	$=$	$40%$	Convert the denominator into a percentage symbol

$(iii)$ Find the percentage of the yellow-shaded region.

Since percentages amount to a hundred of a value, simply subtract the the percentage of the purple-shaded region from

$100%$ to get the percentage of the yellow-shaded region.

$\text(Percentage)$	$=$	$100-40$
	$=$	$60%$

$(i) 40/100$

$(ii) 40%$

$(iii) 60%$

Question 2 of 5

Using the image below, find the following values:

Note: There are a total of

$100$ squares

Write fractions in the format “a/b”

$(i) \text(Fraction of purple-shaded area:)$ (100/100, 1/1, 1)

$(ii) \text(Percentage of purple-shaded area:)$ (100) $%$

$(iii) \text(Percentage of yellow-shaded area:)$ (0) $%$

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$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

$(i)$ Find the fraction of the purple-shaded region.

no. of purple-shaded parts

$=100$

total no. of equal parts

$=100$

$\frac{\mathsf{numerator}}{\mathsf{denominator}}$	$=$	$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

	$=$	$\frac{100}{100}$	Substitute values

$(ii)$ Find the percentage of the purple-shaded region.

Percentages are values per a hundred, or

$x/(100)$ . The per a hundred is represented by the symbol

$%$ .

Since the fraction has a denominator of

$100$ , get the numerator and add a percentage symbol

$(%)$ .

$\text(Percentage)$	$=$	$\frac{100}{100}$

	$=$	$100%$	Convert the denominator into a percentage symbol

$(iii)$ Find the percentage of the yellow-shaded region.

Since percentages amount to a hundred of a value, simply subtract the the percentage of the purple-shaded region from

$100%$ to get the percentage of the yellow-shaded region.

$\text(Percentage)$	$=$	$100-100$
	$=$	$0%$

$(i) 100/100$

$(ii) 100%$

$(iii) 0%$

Question 3 of 5

Using the image below, find the following values:

Write fractions in the format “a/b”

$(i) \text(Fraction of orange-shaded area:)$ (1/5, 3/15)

$(ii) \text(Percentage of orange-shaded area:)$ (20) $%$

$(iii) \text(Percentage of yellow-shaded area:)$ (80) $%$

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$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

$(i)$ Find the fraction of the orange-shaded region.

no. of orange-shaded parts

$=3$

total no. of equal parts

$=15$

$\frac{\mathsf{numerator}}{\mathsf{denominator}}$	$=$	$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

	$=$	$\frac{3}{15}$	Substitute values

	$=$	$\frac{1}{5}$	Simplify

$(ii)$ Find the percentage of the orange-shaded region.

Percentages are values per a hundred, or

$x/(100)$ . The per a hundred is represented by the symbol

$%$ .

To get the percentage, multiply the fraction value by

$100%$ .

$\text(Percentage)$	$=$	$\frac{1}{5}\times100$

	$=$	$\frac{1}{5}\times\frac{100%}{1}$

	$=$	$\frac{100%}{5}$

	$=$	$20%$

$(iii)$ Find the percentage of the yellow-shaded region.

Since percentages amount to a hundred of a value, simply subtract the percentage of the orange-shaded region from

$100%$ to get the percentage of the yellow-shaded region.

$\text(Percentage)$	$=$	$100-20$
	$=$	$80%$

$(i) 1/5$

$(ii) 20%$

$(iii) 80%$

Question 4 of 5

Using the image below, find the following values:

Write fractions in the format “a/b”

$(i) \text(Fraction of purple-shaded area:)$ (4/5, 20/25)

$(ii) \text(Percentage of purple-shaded area:)$ (80) $%$

$(iii) \text(Percentage of pink-shaded area:)$ (20) $%$

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$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

$(i)$ Find the fraction of the purple-shaded region.

no. of purple-shaded parts

$=20$

total no. of equal parts

$=25$

$\frac{\mathsf{numerator}}{\mathsf{denominator}}$	$=$	$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

	$=$	$\frac{20}{25}$	Substitute values

	$=$	$\frac{4}{5}$	Simplify

$(ii)$ Find the percentage of the purple-shaded region.

Percentages are values per a hundred, or

$x/(100)$ . The per a hundred is represented by the symbol

$%$ .

To get the percentage, multiply the fraction value by

$100%$ .

$\text(Percentage)$	$=$	$\frac{4}{5}\times100$

	$=$	$\frac{4}{5}\times\frac{100%}{1}$

	$=$	$\frac{400%}{5}$

	$=$	$80%$

$(iii)$ Find the percentage of the pink-shaded region.

Since percentages amount to a hundred of a value, simply subtract the percentage of the purple-shaded region from

$100%$ to get the percentage of the pink-shaded region.

$\text(Percentage)$	$=$	$100-80$
	$=$	$20%$

$(i) 4/5$

$(ii) 80%$

$(iii) 20%$

Question 5 of 5

Using the image below, find the following values:

Write fractions in the format “a/b”

$(i) \text(Fraction of purple-shaded area:)$ (½, 1/2, 3/6)

$(ii) \text(Percentage of purple-shaded area:)$ (50) $%$

$(iii) \text(Percentage of yellow-shaded area:)$ (50) $%$

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$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

$(i)$ Find the fraction of the purple-shaded region.

no. of purple-shaded parts

$=3$

total no. of equal parts

$=6$

$\frac{\mathsf{numerator}}{\mathsf{denominator}}$	$=$	$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

	$=$	$\frac{3}{6}$	Substitute values

	$=$	$\frac{1}{2}$	Simplify

$(ii)$ Find the percentage of the purple-shaded region.

Percentages are values per a hundred, or

$x/(100)$ . The per a hundred is represented by the symbol

$%$ .

To get the percentage, multiply the fraction value by

$100%$ .

$\text(Percentage)$	$=$	$\frac{1}{2}\times100$

	$=$	$\frac{1}{2}\times\frac{100%}{1}$

	$=$	$\frac{100%}{2}$

	$=$	$50%$

$(iii)$ Find the percentage of the yellow-shaded region.

Since percentages amount to a hundred of a value, simply subtract the percentage of the purple-shaded region from

$100%$ to get the percentage of the yellow-shaded region.

$\text(Percentage)$	$=$	$100-50$
	$=$	$50%$

$(i) 1/2$

$(ii) 50%$

$(iii) 50%$

Percent from a Graph (Visual) 2

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